If an arrow is shot upward on the moon with a velocity of 58 m/s, its height in meters after $t$ seconds is given by $y=58t-.83t^2$.

(a) Find the average velocity over the given time intervals:
(1) [1,1.5]
(2) [1,1.1]
(3) [1,1.01]
(4) [1,1.001]

(b) Find the instantaneous velocity after one second (to the nearest hundredth).

(1) m/s
(2) m/s
(3) m/s
(4) m/s
(b) m/s